After successful completion of the course, students are able to...
In the lecture, the students get a basic understanding of the theory of Hardyspaces. In particular, the students are able to apply this theory to studyspectral properties of contractions on Hilbert spaces. This knowledge will beconnected to the spectral theory of bounded self adjoint operators, which wasalready studied in previous courses.
Boundary behavior of Poisson integralsHardy spacesinner functionsmodel spacesNagy Foias functional model
The lecture will be a blackboard presentation.
The evaluation of the student will be by an oral exam.
Not necessary